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Finding the Third Proportional to 336,268.13 and 499,638.38

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Solution

The third proportional to 336,268.13 and 499,638.38 is: 742,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,268.13 : 499,638.38 = 499,638.38 : x
  2. Step 2: Convert to fraction form
    336,268.13/499,638.38 = 499,638.38/x
  3. Step 3: Cross multiply
    336,268.13x = 499,638.38 × 499,638.38
  4. Step 4: Simplify right side
    336,268.13x = 249,638,505,772.64
  5. Step 5: Solve for x
    x = 249,638,505,772.64/336,268.13
  6. Step 6: Final answer
    x = 742,379.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.